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Simplifying 3(x + 1) + 4(x + 2) = 5(x + -1) + 3 Reorder the terms: 3(1 + x) + 4(x + 2) = 5(x + -1) + 3 (1 * 3 + x * 3) + 4(x + 2) = 5(x + -1) + 3 (3 + 3x) + 4(x + 2) = 5(x + -1) + 3 Reorder the terms: 3 + 3x + 4(2 + x) = 5(x + -1) + 3 3 + 3x + (2 * 4 + x * 4) = 5(x + -1) + 3 3 + 3x + (8 + 4x) = 5(x + -1) + 3 Reorder the terms: 3 + 8 + 3x + 4x = 5(x + -1) + 3 Combine like terms: 3 + 8 = 11 11 + 3x + 4x = 5(x + -1) + 3 Combine like terms: 3x + 4x = 7x 11 + 7x = 5(x + -1) + 3 Reorder the terms: 11 + 7x = 5(-1 + x) + 3 11 + 7x = (-1 * 5 + x * 5) + 3 11 + 7x = (-5 + 5x) + 3 Reorder the terms: 11 + 7x = -5 + 3 + 5x Combine like terms: -5 + 3 = -2 11 + 7x = -2 + 5x Solving 11 + 7x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 11 + 7x + -5x = -2 + 5x + -5x Combine like terms: 7x + -5x = 2x 11 + 2x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + 2x = -2 + 0 11 + 2x = -2 Add '-11' to each side of the equation. 11 + -11 + 2x = -2 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = -2 + -11 2x = -2 + -11 Combine like terms: -2 + -11 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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